English

Commutators of singular integrals revisited

Classical Analysis and ODEs 2018-11-14 v1

Abstract

We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.

Keywords

Cite

@article{arxiv.1709.04724,
  title  = {Commutators of singular integrals revisited},
  author = {Andrei K. Lerner and Sheldy Ombrosi and Israel P. Rivera-Ríos},
  journal= {arXiv preprint arXiv:1709.04724},
  year   = {2018}
}

Comments

13 pages

R2 v1 2026-06-22T21:42:59.707Z